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Finding the Fourth Proportional to 30,870.69, 42,601.76 and 16,723.54

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Solution

The fourth proportional to 30,870.69, 42,601.76 and 16,723.54 is: 23,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,870.69 : 42,601.76 = 16,723.54 : x
  2. Step 2: Convert to fraction form
    30,870.69/42,601.76 = 16,723.54/x
  3. Step 3: Cross multiply
    30,870.69x = 42,601.76 × 16,723.54
  4. Step 4: Simplify right side
    30,870.69x = 712,452,237.43
  5. Step 5: Solve for x
    x = 712,452,237.43/30,870.69
  6. Step 6: Final answer
    x = 23,078.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.